Does Multi-tabling increase variance?

[jokerthief]

I was trying think this problem through logically today and my opinion is leaning toward no, but I have had no formal training in statistics so I am not sure if my logic is worth anything. Could some of you math geniuses please give me some insight into this? The reason I am asking is because I am trying to decide if I need more than 300 BB in my bankroll because I play 4 tables at a time. Thanks for any input.